Microfluidics: Modeling, Mechanics and Mathematics - 1st Edition - ISBN: 9781455731411, 9781455731510

Microfluidics: Modeling, Mechanics and Mathematics

1st Edition

Authors: Bastian E. Rapp
eBook ISBN: 9781455731510
Hardcover ISBN: 9781455731411
Imprint: Elsevier
Published Date: 6th December 2016
Page Count: 830
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Table of Contents



List of Figures

List of Tables

List of Listings

List of Acronyms

List of Abbreviations

List of Symbols

List of Constants

List of Chemicals


Part I Fundamentals

Chapter 1. Introduction

Chapter 2. Introduction to Maple

Chapter 3. Engineering Mathematics

Chapter 4. Series

Chapter 5. Transforms

Chapter 6. Thermodynamics

Chapter 7. Vector Calculus

Chapter 8. Differential Equations

Part II Bulk Fluid Flows

Chapter 9. Fluids

Chapter 10. Conservation of Mass: The Continuity Equation

Chapter 11. Conservation of Momentum: The Navier-Stokes Equation

Chapter 12. Conservation of Energy: The Energy Equation and the Thermodynamic Equation of State

Chapter 13. Continuity and Navier-Stokes Equations in Different Coordinate Systems

Chapter 14. The Circular Flow Tube

Chapter 15. Analytical Solutions to the Navier-Stokes Equation

Chapter 16. Analytical Solutions to Poiseuille Flow Problems in Different Geometries

Chapter 17. Hydraulic Resistance

Chapter 18. Analytical Solutions to Transient Flow Problems

Chapter 19. Taylor-Aris Dispersion

Part III Fluid Surface Effects

Chapter 20. Surface Tension

Chapter 21. Capillarity

Chapter 22. Measuring Surface Tension and Free Surface Energy

Chapter 23. Plateau-Rayleigh Instability

Chapter 24. The Shape of Drops

Part IV Numerics

Chapter 25. Numerical Methods for Linear Systems of Equations

Chapter 26. Numerical Solutions to Nonlinear Systems: Newton’s Method

Chapter 27. Numerical Methods for Solving Differential Equations

Chapter 28. Numerical Solutions to the Navier-Stokes Equation

Chapter 29. Computational Fluid Dynamics

Chapter 30. Finite Difference Method

Chapter 31. Finite Volume Method

Chapter 32. Finite Element Method

Chapter 33. Numerical Solutions to Transient Flow Problems

Chapter 34. Numerical Solutions to Three-Dimensional Flow Problems




This practical, lab-based approach to nano- and microfluidics provides readers with a wealth of practical techniques, protocols, and experiments ready to be put into practice in both research and industrial settings. The practical approach is ideally suited to researchers and R&D staff in industry; additionally the interdisciplinary approach to the science of nano- and microfluidics enables readers from a range of different academic disciplines to broaden their understanding.

Dr Rapp fully engages with the multidisciplinary nature of the subject. Alongside traditional fluid/transport topics, there is a wealth of coverage of materials and manufacturing techniques, chemical modification/surface functionalization, biochemical analysis, and the biosensors involved.

As well as providing a clear and concise overview to get started into the multidisciplinary field of microfluidics and practical guidance on techniques, pitfalls and troubleshooting, this book supplies:

  • A set of hands-on experiments and protocols that will help setting up lab experiments but which will also allow a quick start into practical work.
  • A collection of microfluidic structures, with 3D-CAD and image data that can be used directly (files provided on a companion website).

Key Features

    • A practical guide to the successful design and implementation of nano- and microfluidic processes (e.g. biosensing) and equipment (e.g., biosensors, such as diabetes blood glucose sensors).
    • Provides techniques, experiments, and protocols ready to be put to use in the lab, in an academic, or industry setting.
    • A collection of 3D-CAD and image files is provided on a companion website.


Engineers and scientists involved in designing and making use of nano/microfluidics techniques and equipment. Disciplines include engineering, materials science, biosensing, biochemistry, and medicine. Relevant to academia / research and industry


No. of pages:
© Elsevier 2017
eBook ISBN:
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Ratings and Reviews

About the Authors

Bastian E. Rapp Author

Dr Bastian Rapp is currently emplyed as Head of Group at the Karlsruhe Institute of Technology (KIT), Institute of Microstructure Technology (IMT).

Affiliations and Expertise

Head of Group, Institute of Microstructure Technology (IMT), Karlsruhe Institute of Technology (KIT), Karlsruhe, Germany